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nlin.CD2007★ 9 cited
Embeddings of low-dimensional strange attractors: Topological invariants and degrees of freedom
Nicola Romanazzi, Marc Lefranc, Robert Gilmore
When a low dimensional chaotic attractor is embedded in a three dimensional space its topological properties are embedding-dependent. We show that there are just three topological…
nlin.CD2005★ 19 cited
Alternative determinism principle for topological analysis of chaos
Marc Lefranc
The topological analysis of chaos based on a knot-theoretic characterization of unstable periodic orbits has proved a powerful method, however knot theory can only be applied to th…